where \([{F}]\)  is the \(S\) -equivalence class of \({F}\)  (see [1]}), \(\det ({F})\)  is the determinant bundle of \({F}\) , and \(\sum c_2({F})\)  is the sum in \(J\)  of any representative of \(c_2({F})\)  in \(CH_0(J)\) , the Chow group of zero cycles on \(J\)  (cf. [1]}).
